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The Largest Suslin Axiom.
・ISBN 978-1-009-52071-3 hard GB£ 120.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-1-009-52068-3
| 著者・編者 | Sargsyan, Grigor / Trang, Nam, |
|---|---|
| シリーズ | Lecture Notes in Logic |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 2024 |
| ページ数 | 404 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-11036＞ |
解説
Developing the theory up to the current state-of-the art, this book studies the minimal model of the Largest Suslin Axiom (LSA), which is one of the most important determinacy axioms and features prominently in Hugh Woodin's foundational framework known as the Ultimate L. The authors establish the consistency of LSA relative to large cardinals and develop methods for building models of LSA from other foundational frameworks such as Forcing Axioms. The book significantly advances the Core Model Induction method, which is the most successful method for building canonical inner models from various hypotheses. Also featured is a proof of the Mouse Set Conjecture in the minimal model of the LSA. It will be indispensable for graduate students as well as researchers in mathematics and philosophy of mathematics who are interested in set theory and in particular, in descriptive inner model theory.